已知,2+2/3=2²×2/3,3+3/8=3²×3/8,4+4/15=4²×4/15……若10+a/b=10²×a/b(a、b为正整数),求分式a²+2ab+b²/ab²+a²b的值.
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![已知,2+2/3=2²×2/3,3+3/8=3²×3/8,4+4/15=4²×4/15……若10+a/b=10²×a/b(a、b为正整数),求分式a²+2ab+b²/ab²+a²b的值.](/uploads/image/z/6967641-57-1.jpg?t=%E5%B7%B2%E7%9F%A5%2C2%2B2%2F3%3D2%26sup2%3B%C3%972%2F3%2C3%2B3%2F8%3D3%26sup2%3B%C3%973%2F8%2C4%2B4%2F15%3D4%26sup2%3B%C3%974%2F15%E2%80%A6%E2%80%A6%E8%8B%A510%2Ba%2Fb%3D10%26sup2%3B%C3%97a%2Fb%EF%BC%88a%E3%80%81b%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%EF%BC%89%2C%E6%B1%82%E5%88%86%E5%BC%8Fa%26sup2%3B%2B2ab%2Bb%26sup2%3B%2Fab%26sup2%3B%2Ba%26sup2%3Bb%E7%9A%84%E5%80%BC.)
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已知,2+2/3=2²×2/3,3+3/8=3²×3/8,4+4/15=4²×4/15……若10+a/b=10²×a/b(a、b为正整数),求分式a²+2ab+b²/ab²+a²b的值.
已知,2+2/3=2²×2/3,3+3/8=3²×3/8,4+4/15=4²×4/15……若10+a/b=10²×a/b(a、b为正整数),求分式a²+2ab+b²/ab²+a²b的值.
已知,2+2/3=2²×2/3,3+3/8=3²×3/8,4+4/15=4²×4/15……若10+a/b=10²×a/b(a、b为正整数),求分式a²+2ab+b²/ab²+a²b的值.
仔细看就知道,分子依然是10,分母是10的平方-1,即99.所以a=10,b=99,
然后代入计算就行啦~